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解
[(x²-1)/(x²-2x+1)×(x-1)/(x²+x)]+2/x
=[(x-1)(x+1)/(x-1)²×(x-1)/x(x+1)]+2/x
=[(x+1)/(x-1)×(x-1)/x(x+1)]+2/x
=1/x+2/x
=3/x
[(x²-1)/(x²-2x+1)×(x-1)/(x²+x)]+2/x
=[(x-1)(x+1)/(x-1)²×(x-1)/x(x+1)]+2/x
=[(x+1)/(x-1)×(x-1)/x(x+1)]+2/x
=1/x+2/x
=3/x
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